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221023300 = 22522210233
BaseRepresentation
bin11010010110010…
…00110001000100
3120101220010222011
431023020301010
5423040221200
633533144004
75322444541
oct1513106104
9511803864
10221023300
11103842093
126202b004
1336a38424
14214d5bc8
151460d5ba
hexd2c8c44

221023300 has 18 divisors (see below), whose sum is σ = 479620778. Its totient is φ = 88409280.

The previous prime is 221023291. The next prime is 221023337. The reversal of 221023300 is 3320122.

It is a happy number.

221023300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 211586116 = 3072^2 + 14546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105017 + ... + 1105216.

Almost surely, 2221023300 is an apocalyptic number.

221023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221023300 is an abundant number, since it is smaller than the sum of its proper divisors (258597478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221023300 is a wasteful number, since it uses less digits than its factorization.

221023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210247 (or 2210240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 221023300 is about 14866.8523904692. The cubic root of 221023300 is about 604.6156062883.

Adding to 221023300 its reverse (3320122), we get a palindrome (224343422).

The spelling of 221023300 in words is "two hundred twenty-one million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2210233 4420466 8840932 11051165 22102330 44204660 55255825 110511650 221023300